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Finding the Fourth Proportional to 321,439.24, 482,424.90 and 161,561.01

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Solution

The fourth proportional to 321,439.24, 482,424.90 and 161,561.01 is: 242,475.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,439.24 : 482,424.90 = 161,561.01 : x
  2. Step 2: Convert to fraction form
    321,439.24/482,424.90 = 161,561.01/x
  3. Step 3: Cross multiply
    321,439.24x = 482,424.90 × 161,561.01
  4. Step 4: Simplify right side
    321,439.24x = 77,941,054,093.15
  5. Step 5: Solve for x
    x = 77,941,054,093.15/321,439.24
  6. Step 6: Final answer
    x = 242,475.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.